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Finding the Fourth Proportional to 7,291.26, 10,936.98 and 2,906.16

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Solution

The fourth proportional to 7,291.26, 10,936.98 and 2,906.16 is: 4,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.26 : 10,936.98 = 2,906.16 : x
  2. Step 2: Convert to fraction form
    7,291.26/10,936.98 = 2,906.16/x
  3. Step 3: Cross multiply
    7,291.26x = 10,936.98 × 2,906.16
  4. Step 4: Simplify right side
    7,291.26x = 31,784,613.80
  5. Step 5: Solve for x
    x = 31,784,613.80/7,291.26
  6. Step 6: Final answer
    x = 4,359.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.